Power function and binomial series on T(q-h)
| dc.contributor.author | Secil Gergun | |
| dc.contributor.author | Burcu Silindir | |
| dc.contributor.author | Ahmet Yantir | |
| dc.contributor.author | Gergün, Seçil | |
| dc.contributor.author | Silindir, Burcu | |
| dc.contributor.author | Yantir, Ahmet | |
| dc.date | DEC 31 | |
| dc.date.accessioned | 2025-10-06T16:21:17Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract | This article is devoted to present (q h) -analogue of power function which satisfies additivity and derivative properties similar to the ordinary power function. In the light of nabla (q h) -power function we present (q h)-analogue of binomial series and conclude that such power function is (q h)-analytic. We prove the analyticity by showing that both the power function and its absolutely convergent Taylor series solve the same IVP. Finally we present the reductions of (q h)-binomial series to classical binomial series Gauss' binomial and Newton's binomial formulas. | |
| dc.identifier.doi | 10.1080/27690911.2023.2168657 | |
| dc.identifier.issn | 2769-0911 | |
| dc.identifier.scopus | 2-s2.0-85148540655 | |
| dc.identifier.uri | http://dx.doi.org/10.1080/27690911.2023.2168657 | |
| dc.identifier.uri | https://gcris.yasar.edu.tr/handle/123456789/6812 | |
| dc.identifier.uri | https://doi.org/10.1080/27690911.2023.2168657 | |
| dc.language.iso | English | |
| dc.publisher | TAYLOR & FRANCIS LTD | |
| dc.relation.ispartof | Applied Mathematics in Science and Engineering | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.source | APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING | |
| dc.subject | Nabla generalized quantum binomial, nabla (q h)-power function, (q h)-analytic functions, nabla (q h)-binomial series, Newton's binomial formula, Gauss' binomial formula | |
| dc.subject | Nabla -Binomial Series | |
| dc.subject | Nabla (q, h)-Binomial Series | |
| dc.subject | (Q, h)-Analytic Functions | |
| dc.subject | Newton’s Binomial Formula | |
| dc.subject | Nabla -Power Function | |
| dc.subject | Gauss’ Binomial Formula | |
| dc.subject | Nabla Generalized Quantum Binomial | |
| dc.subject | -Analytic Functions | |
| dc.subject | Nabla (q, h)-Power Function | |
| dc.title | Power function and binomial series on T(q-h) | |
| dc.type | Article | |
| dspace.entity.type | Publication | |
| gdc.author.id | Yantir, Ahmet/0000-0002-4855-1691 | |
| gdc.author.id | GERGÜN, SEÇIL/0000-0003-0952-3070 | |
| gdc.author.id | SILINDIR YANTIR, BURCU/0000-0001-5694-9977 | |
| gdc.author.scopusid | 6507041448 | |
| gdc.author.scopusid | 8943676000 | |
| gdc.author.scopusid | 9845952500 | |
| gdc.author.wosid | Yantir, Ahmet/K-3751-2019 | |
| gdc.author.wosid | SILINDIR YANTIR, BURCU/JAO-4154-2023 | |
| gdc.author.wosid | GERGÜN, SEÇIL/P-7550-2019 | |
| gdc.bip.impulseclass | C5 | |
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| gdc.coar.type | text::journal::journal article | |
| gdc.collaboration.industrial | false | |
| gdc.description.department | ||
| gdc.description.departmenttemp | [Gergun, Secil; Silindir, Burcu] Dokuz Eylul Univ, Dept Math, Izmir, Turkiye; [Yantir, Ahmet] Yasar Univ, Dept Math, Izmir, Turkiye | |
| gdc.description.issue | 1 | |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | |
| gdc.description.volume | 31 | |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.identifier.openalex | W4317940841 | |
| gdc.identifier.wos | WOS:000922697100001 | |
| gdc.index.type | WoS | |
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| gdc.oaire.keywords | nabla generalized quantum binomial | |
| gdc.oaire.keywords | Engineering (General). Civil engineering (General) | |
| gdc.oaire.keywords | nabla $ (q, h) $ -power function | |
| gdc.oaire.keywords | nabla $ (q, h) $ -binomial series | |
| gdc.oaire.keywords | QA1-939 | |
| gdc.oaire.keywords | newton's binomial formula | |
| gdc.oaire.keywords | gauss' binomial formula | |
| gdc.oaire.keywords | TA1-2040 | |
| gdc.oaire.keywords | $ (q, h) $ -analytic functions | |
| gdc.oaire.keywords | Mathematics | |
| gdc.oaire.popularity | 2.6855724E-9 | |
| gdc.oaire.publicfunded | false | |
| gdc.oaire.sciencefields | 02 engineering and technology | |
| gdc.oaire.sciencefields | 01 natural sciences | |
| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.oaire.sciencefields | 0210 nano-technology | |
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| gdc.opencitations.count | 1 | |
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| gdc.scopus.citedcount | 3 | |
| gdc.virtual.author | Yantir, Ahmet | |
| gdc.wos.citedcount | 3 | |
| person.identifier.orcid | SILINDIR YANTIR- BURCU/0000-0001-5694-9977, GERGUN- SECIL/0000-0003-0952-3070, Yantir- Ahmet/0000-0002-4855-1691 | |
| publicationissue.issueNumber | 1 | |
| publicationvolume.volumeNumber | 31 | |
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